Be. Martin et Cj. Thomson, MODELING SURFACE-WAVES IN ANISOTROPIC STRUCTURES-II - EXAMPLES, Physics of the earth and planetary interiors, 103(3-4), 1997, pp. 253-279
Surface waves in several anisotropic geological settings are studied b
y numerical simulation. Asymptotic point-source synthetic seismograms
are obtained using formulas from a companion paper, the group velociti
es and mode-excitation factors being evaluated via variational integra
ls. Some alternative waveform approximations and ray-path effects are
explored and the possible significances of peculiarities of anisotropy
, such as wavefront folding, are at least partially assessed. Model on
e is a 5-layer oceanic environment with +/-5.6% aligned vertical-crack
S-wave anisotropy in the upper crust, The 2-3 s waveforms often have
highest group velocities at 45 degrees to the cracks and there are ver
y strong transverse components from a vertical source. Maslov and ray/
WKBJ waveforms agree well, even though for some modes and frequencies
azimuthal group-velocity variations imply the latter is suspect. The M
aslov-integral end-point signals mean that it too requires care and th
e so-called quasi-WKBJ approximation is a viable alternative. Periods
approaching 1 s and/or high crack densities lead to very complicated g
roup-velocity geometry indeed. The second model has +/-2% upper-mantle
mineral-alignment anisotropy, with its isotropic component constraine
d to agree with model ak135. The 20-30 s waveforms from a transversely
-isotropic source force have fundamental 'Rayleigh' and 'Love' packets
showing clear azimuthal phase anomalies but surprisingly standard pol
arizations and amplitudes, Only higher modes show such variable amplit
udes and phases that they might be identified as likely due to anisotr
opy. Around 10-s period the higher-mode family has an interesting band
ed group-velocity structure and as the period is lowered further, two
modes separate out and the band tightens in what may be a characterist
ic feature. Two candidate models of mantle-plume anisotropy show disti
nct azimuthal dependencies of mode velocities. Point-source surface-wa
ve rays tracked in one plume model display shadows and focusing and sh
ow how initially folded wavefronts can unfold in the lateral variation
s. The upper-mantle models are numerically taxing. R/T coefficients an
d mode slownesses can be found using double-precision arithmetic, but
depth profiles and variational-integrals sometimes require greater acc
uracy. We find that while displacements near the stack top and bottom
may be obtained quite easily, as frequency increases it becomes increa
singly difficult to compute those at mid-depth. We find no reason to b
elieve that the Kennett invariant-embedding scheme has lesser accuracy
than others. (C) 1997 Elsevier Science B.V.